In [15]:

    

# P5: fractions demo
>>> from fractions import Fraction
>>> f = Fraction(3, 4)
f


    

    
Out[15]:





Fraction(3, 4)

In [16]:

    

#P12: Complex number input
>>> z = complex(input('Enter a complex number: ')) #2+3j is valid, 2 + 3j is invalid
z


    

    




Enter a complex number: 2+3j






    
Out[16]:





(2+3j)

In [19]:

    

#P12: Checking if a number is a factor of another
def is_factor(a, b):
    if b % a == 0:
        return True
    else:
        return False

# try it out
print(is_factor(4, 1024))
print(is_factor(4, 21))


    

    




True
False

In [1]:

    

#P14: Find the factors of an integer
'''
Find the factors of an integer
'''
def factors(a):
    for i in range(1, a+1):
        if a % i == 0:
            print(i)
            
if __name__ == '__main__':
    a = input('Your Number Please: ')
    a = float(a)
    if a > 0 and a.is_integer():
        factors(int(a))
    else:
        print('Please enter a positive integer')


    

    




Your Number Please: 25
1
5
25

In [14]:

    

#P15: Format example

>>> item1 = 'apples'
>>> item2 = 'bananas'
>>> item3 = 'grapes'
>>> print('At the grocery store, I bought some {0} and {1} and {2}'.format(item1, item2, item3))


    

    




At the grocery store, I bought some apples and bananas and grapes

In [20]:

    

#P16: Multiplication table printer

'''
Multiplication table printer
'''
def multi_table(a):
    for i in range(1, 11):
        print('{0} x {1} = {2}'.format(a, i, a*i))

if __name__ == '__main__':
    a = input('Enter a number: ')
    multi_table(float(a))


    

    




Enter a number: 5
5.0 x 1 = 5.0
5.0 x 2 = 10.0
5.0 x 3 = 15.0
5.0 x 4 = 20.0
5.0 x 5 = 25.0
5.0 x 6 = 30.0
5.0 x 7 = 35.0
5.0 x 8 = 40.0
5.0 x 9 = 45.0
5.0 x 10 = 50.0

In [29]:

    

#P18: Fahrenheit to Celsius conversion
>>> F = 98.6
>>> (F - 32) * (5 / 9)


    

    
Out[29]:





37.0

In [32]:

    

#P18: Celsius to Fahrenheit
>>> C = 37
>>> C * (9 / 5) + 32


    

    
Out[32]:





98.60000000000001

In [35]:

    

#P19: Unit conversion

'''
Unit converter: Miles and Kilometers
'''
def print_menu():
    print('1. Kilometers to Miles')
    print('2. Miles to Kilometers')
    
def km_miles():
    km = float(input('Enter distance in kilometers: '))
    miles = km / 1.609
    print('Distance in miles: {0}'.format(miles))

def miles_km():
    miles = float(input('Enter distance in miles: '))
    km = miles * 1.609
    print('Distance in kilometers: {0}'.format(km))

if __name__ == '__main__':
    print_menu()
    choice = input('Which conversion would you like to do?: ')
    if choice == '1':
        km_miles()
    if choice == '2':
        miles_km()


    

    




1. Kilometers to Miles
2. Miles to Kilometers
Which conversion would you like to do?: 2
Enter distance in miles: 100
Distance in kilometers: 160.9

In [38]:

    

#P21: Roots of a quadratic equation example
>>> a = 1
>>> b = 2
>>> c = 1
>>> D = (b**2 - 4*a*c)**0.5
>>> x_1 = (-b + D)/(2*a)
>>> print(x_1)
>>> x_2 = (-b - D)/(2*a)
>>> print(x_2)


    

    




-1.0
-1.0

In [40]:

    

#P21: Quadratic Equation Root calculator
'''
Quadratic Equation root calculator
'''
def roots(a, b, c):
    D = (b*b - 4*a*c)**0.5
    x_1 = (-b + D)/(2*a)
    x_2 = (-b - D)/(2*a)
    print('x1: {0}'.format(x_1))
    print('x2: {0}'.format(x_2))

if __name__ == '__main__':
    a = input('Enter a: ')
    b = input('Enter b: ')
    c = input('Enter c: ')
    roots(float(a), float(b), float(c))


    

    




Enter a: 1
Enter b: 2
Enter c: 1
x1: -1.0
x2: -1.0